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shutvik [7]
3 years ago
7

Solve for the inequality x / 3 < -7​

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

x <  - 21

Step-by-step explanation:

1. Multiply both sides by 3.

x <  - 7 \times 3

2. Simplify 3 × 7 to 21.

x <  - 21

therefor, the answer is x < -21

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
Agata [3.3K]

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}

Considering the diagram. \angle B is shown to be acute, so \boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}.

Angles in a triangle add to 180°, so m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right).

Using the law of cosines,

AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}

3 0
1 year ago
Omar runs 7 miles in 50 minutes at the same rate how many miles but here in 75 minutes
strojnjashka [21]

Answer:

10.5

Step-by-step explanation:

7miles÷50min=.14

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3 0
3 years ago
Solve the problem 10-5h+2=32
Yuri [45]
First you would add any numbers or variables (x) on each sides. So the equation would look like this -5h+12=32. Then you subtract 12 from both side because you are trying to find what H is; thus making the equation look like this, -5h=20. Then you can divide by -5 and the answer would be h=-4. You can plug it back into the equation to make sure it is correct. 10-5(-4)+2=32
10+20+2=32
32=32
It works.
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